{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:D4PNVSKS2KSI64JVPO267MAANH","short_pith_number":"pith:D4PNVSKS","schema_version":"1.0","canonical_sha256":"1f1edac952d2a48f71357bb5efb00069fb8615fa26bf8932a26f72e9386dba37","source":{"kind":"arxiv","id":"1602.06494","version":1},"attestation_state":"computed","paper":{"title":"K-theoretic quasimap invariants and their wall-crossing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Fenglong You, Hsian-Hua Tseng","submitted_at":"2016-02-21T03:47:50Z","abstract_excerpt":"For each positive rational number $\\epsilon$, we define $K$-theoretic $\\epsilon$-stable quasimaps to certain GIT quotients $W\\sslash G$. For $\\epsilon>1$, this recovers the $K$-theoretic Gromov-Witten theory of $W\\sslash G$ introduced in more general context by Givental and Y.-P. Lee.\n  For arbitrary $\\epsilon_1$ and $\\epsilon_2$ in different stability chambers, these $K$-theoretic quasimap invariants are expected to be related by wall-crossing formulas. We prove wall-crossing formulas for genus zero $K$-theoretic quasimap theory when the target $W\\sslash G$ admits a torus action with isolated"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1602.06494","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-02-21T03:47:50Z","cross_cats_sorted":[],"title_canon_sha256":"683a144e09879feb450c047f706ad5f763bf17fbd615fc3feac1991c78399fbc","abstract_canon_sha256":"911fd7b4c5bc60bc165724aed07dd5341675b22fe6ef74efe07d9d4aa0a4fc6e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:13.813127Z","signature_b64":"yh82OfNCWvVINUx6nasUkSTG4mr6ADvpPhqyf3PdovGSAL8pMzNTJwanpn6180OHeIZ3mmBbwF/Xx21hMPngDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f1edac952d2a48f71357bb5efb00069fb8615fa26bf8932a26f72e9386dba37","last_reissued_at":"2026-05-18T01:20:13.812492Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:13.812492Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"K-theoretic quasimap invariants and their wall-crossing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Fenglong You, Hsian-Hua Tseng","submitted_at":"2016-02-21T03:47:50Z","abstract_excerpt":"For each positive rational number $\\epsilon$, we define $K$-theoretic $\\epsilon$-stable quasimaps to certain GIT quotients $W\\sslash G$. For $\\epsilon>1$, this recovers the $K$-theoretic Gromov-Witten theory of $W\\sslash G$ introduced in more general context by Givental and Y.-P. Lee.\n  For arbitrary $\\epsilon_1$ and $\\epsilon_2$ in different stability chambers, these $K$-theoretic quasimap invariants are expected to be related by wall-crossing formulas. We prove wall-crossing formulas for genus zero $K$-theoretic quasimap theory when the target $W\\sslash G$ admits a torus action with isolated"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06494","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1602.06494","created_at":"2026-05-18T01:20:13.812586+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.06494v1","created_at":"2026-05-18T01:20:13.812586+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06494","created_at":"2026-05-18T01:20:13.812586+00:00"},{"alias_kind":"pith_short_12","alias_value":"D4PNVSKS2KSI","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"D4PNVSKS2KSI64JV","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"D4PNVSKS","created_at":"2026-05-18T12:30:09.641336+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.00116","citing_title":"Quantum K-theory levels in physics and math","ref_index":42,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/D4PNVSKS2KSI64JVPO267MAANH","json":"https://pith.science/pith/D4PNVSKS2KSI64JVPO267MAANH.json","graph_json":"https://pith.science/api/pith-number/D4PNVSKS2KSI64JVPO267MAANH/graph.json","events_json":"https://pith.science/api/pith-number/D4PNVSKS2KSI64JVPO267MAANH/events.json","paper":"https://pith.science/paper/D4PNVSKS"},"agent_actions":{"view_html":"https://pith.science/pith/D4PNVSKS2KSI64JVPO267MAANH","download_json":"https://pith.science/pith/D4PNVSKS2KSI64JVPO267MAANH.json","view_paper":"https://pith.science/paper/D4PNVSKS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.06494&json=true","fetch_graph":"https://pith.science/api/pith-number/D4PNVSKS2KSI64JVPO267MAANH/graph.json","fetch_events":"https://pith.science/api/pith-number/D4PNVSKS2KSI64JVPO267MAANH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D4PNVSKS2KSI64JVPO267MAANH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D4PNVSKS2KSI64JVPO267MAANH/action/storage_attestation","attest_author":"https://pith.science/pith/D4PNVSKS2KSI64JVPO267MAANH/action/author_attestation","sign_citation":"https://pith.science/pith/D4PNVSKS2KSI64JVPO267MAANH/action/citation_signature","submit_replication":"https://pith.science/pith/D4PNVSKS2KSI64JVPO267MAANH/action/replication_record"}},"created_at":"2026-05-18T01:20:13.812586+00:00","updated_at":"2026-05-18T01:20:13.812586+00:00"}